Introduction If there’s one subject that can either make or break a Class 10 student’s confidence, it’s Mathematics. Every year, lakhs of CBSE students across India prepare for this critical board exam, and one of the most common questions parents and students ask is – “How do I find the best maths teacher for Class 10?” Mathematics is not just…
Tag: Maths Vidya Institute
Proof of 3 Important Trigonometric Identities (Class 10 Maths)
Introduction Trigonometric identities often confuse Class 10 students, but they are actually the simplest once you know the logic. These identities are the backbone of trigonometry and are repeatedly used in exams. In this blog, I’ll walk you through the proof of three trigonometric identities with clear steps and examples. You’ll also find a video lesson embedded for easier understanding.…
Example 2: If ∠B and ∠Q are acute angles such that sin B = sin Q, then prove that ∠B = ∠Q
To Prove: ∠B=∠Q\angle B = \angle Q Given: ∠B and ∠Q are acute angles sin B = sin Q Proof: Let us consider two right triangles: ΔABC, right-angled at C ΔPQR, right-angled at R Step 1: Write sine values in each triangle In ΔABC: sinB=ACAB⋯(1)\sin B = \frac{AC}{AB} \quad \cdots (1) In ΔPQR: sinQ=PRPQ⋯(2)\sin Q = \frac{PR}{PQ} \quad \cdots…
Why Sin A and Cos A are always less than 1 in Right Triangles – Class 10
Let’s break this down step by step so you fully understand why this is always true. 📌 What Is a Right Triangle? A right triangle is a triangle with one 90-degree angle. The side opposite this right angle is called the hypotenuse. The other two sides are called the perpendicular and the base — they are always shorter than the…